I'm willing to buy an "as new" A6000 from someone who said to have quit photography and used this same A6000 for 2 recordings only. I can't visit the seller to see it for myself and I'd have three days to check it out before I could open a complaint (on the online store, against the seller).
As far as I can tell from my sony alpha (5100 - mostly same internals), there's no 'obvious' setting that shows "lifetime" recording/usage statistics. There's a media information menu but that shows shots/time remaining on the SD card
Can't really find a debug menu type thing - assuming that someone servicing the camera would be interested in that, which would be a natural place to store this kind of thing.
You can count the number of shutter actuations (images taken) with the SONY Alpha shutter count tool. It takes an original jpeg or raw image, and reads its EXIF metadata.
Note that eventually the counter is not set to zero even when it's new. The manufacturer might do some tests after the counter is set to zero and ON.
I cannot investigate videos EXIF, but at least you can tell if the person used heavily for photographs or not.
In any case, the camera doesn't grow old / loose its abilities by being used with video. Only the mechanical shutter grows old and the Li battery (when left discharged).